Non-dual thinking is a way of seeing that refuses to eliminate the negative, the problematic, the threatening parts of everything. Non-dual thinking does not divide the field of the naked now, but receives it all. This demands some degree of real detachment from the self. The non-dual/contemplative mind holds truth humbly, knowing that if it is true, it is its own best argument.
Non-polarity thinking (if you prefer that phrase) teaches you how to hold creative tensions, how to live with paradox and contradictions, how not to run from mystery, and therefore how to practice what all religions teach as necessary: compassion, mercy, loving kindness, patience, forgiveness, and humility.